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Finding the Third Proportional to 35,733 and 80,571

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Solution

The third proportional to 35,733 and 80,571 is: 181,672.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,733 : 80,571 = 80,571 : x
  2. Step 2: Convert to fraction form
    35,733/80,571 = 80,571/x
  3. Step 3: Cross multiply
    35,733x = 80,571 × 80,571
  4. Step 4: Simplify right side
    35,733x = 6,491,686,041
  5. Step 5: Solve for x
    x = 6,491,686,041/35,733
  6. Step 6: Final answer
    x = 181,672.01

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.